@Article{ATA-27-332, author = {Indranil Bhaumik , Binayak S. Choudhury , and Mukhopadhyay , Basudeb}, title = {A Simple Proof of the Chaoticity of Shift Map Under a New Definition of Chaos}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {4}, pages = {332--339}, abstract = {

Recently, Du has given a new strong definition of chaos by using the shift map. In this paper, we give a proof of the main theorem by constructing a dense uncountable invariant subset of the symbol space $\sum_2$ containing transitive points in a simpler way with the help of a different metric. We also provide two examples, which support this new definition.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0332-z}, url = {http://global-sci.org/intro/article_detail/ata/4605.html} }